| 一个Hardy-Hilbert型不等式含多参数的新的推广 |
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| 引用本文： | 金建军.一个Hardy-Hilbert型不等式含多参数的新的推广[J].数学研究及应用,2009,29(6):1131-1136. |
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| 作者姓名： | 金建军 |
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| 作者单位： | 衡阳师范学院数学系, 湖南 衡阳 421008 |
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| 摘 要： | In this paper, by introducing some parameters and estimating the weight coefficients, we give a new generalization of Hardy-Hilbert＇s type inequality with the best constant factor. As applications, we consider its equivalent form and obtain some recent results, which are special cases of our results.
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| 关 键 词： | Hilbert型不等式 Hardy 最佳常数 希尔伯特 等价形式 子类型 估计 |
| 收稿时间： | 2007/5/22 0:00:00 |
| 修稿时间： | 2008/4/16 0:00:00 |
A New Generalization of Hardy-Hilbert's Type Inequality with Multi-Parameters |
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| JIN Jian Jun.A New Generalization of Hardy-Hilbert's Type Inequality with Multi-Parameters[J].Journal of Mathematical Research with Applications,2009,29(6):1131-1136. |
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| Authors: | JIN Jian Jun |
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| Institution: | Department of Mathematics, Hengyang Normal University, Hunan 421008, China |
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| Abstract: | In this paper, by introducing some parameters and estimating the weight coefficients, we give a new generalization of Hardy-Hilbert's type inequality with the best constant factor. As applications, we consider its equivalent form and obtain some recent results, which are special cases of our results. |
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| Keywords: | Hardy-Hilbert's type inequality weight coefficient H\"{o}lder's inequality |
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